Compared with the common Fuzzy Sets, Intuitionist Fuzzy Sets (IFS) are good at describing the diversity and vagueness of the world, which has attracted many scholastics' attention. Extended from the Fuzzy Sets, Fuzzy Reasoning (FR) has been applied to many fields including vague control and artificial intelligence. However, it is explained that Intuitionist Fuzzy Reasoning (IFR) is more exquisite in finding out the inherent connections between the fuzzy objects. Originated by professor Wang, the Fuzzy Triple Implication (FTI) has deeply developed the theory of FR. Based on the above theories, and by researching on FTI, this paper extended FTI to Intuitionist Fuzzy Triple Implication (IFTI), and gave a dissertation about the necessity and strong point of it. Through proposing a new intuitionist fuzzy implication arithmetic operator, this paper solved the IFMP problem, and tested the argumentation by an example as well.